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Simplifying (x + -4)(x + -7) = (x + -4)(x + 6) Reorder the terms: (-4 + x)(x + -7) = (x + -4)(x + 6) Reorder the terms: (-4 + x)(-7 + x) = (x + -4)(x + 6) Multiply (-4 + x) * (-7 + x) (-4(-7 + x) + x(-7 + x)) = (x + -4)(x + 6) ((-7 * -4 + x * -4) + x(-7 + x)) = (x + -4)(x + 6) ((28 + -4x) + x(-7 + x)) = (x + -4)(x + 6) (28 + -4x + (-7 * x + x * x)) = (x + -4)(x + 6) (28 + -4x + (-7x + x2)) = (x + -4)(x + 6) Combine like terms: -4x + -7x = -11x (28 + -11x + x2) = (x + -4)(x + 6) Reorder the terms: 28 + -11x + x2 = (-4 + x)(x + 6) Reorder the terms: 28 + -11x + x2 = (-4 + x)(6 + x) Multiply (-4 + x) * (6 + x) 28 + -11x + x2 = (-4(6 + x) + x(6 + x)) 28 + -11x + x2 = ((6 * -4 + x * -4) + x(6 + x)) 28 + -11x + x2 = ((-24 + -4x) + x(6 + x)) 28 + -11x + x2 = (-24 + -4x + (6 * x + x * x)) 28 + -11x + x2 = (-24 + -4x + (6x + x2)) Combine like terms: -4x + 6x = 2x 28 + -11x + x2 = (-24 + 2x + x2) Add '-1x2' to each side of the equation. 28 + -11x + x2 + -1x2 = -24 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 28 + -11x + 0 = -24 + 2x + x2 + -1x2 28 + -11x = -24 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 28 + -11x = -24 + 2x + 0 28 + -11x = -24 + 2x Solving 28 + -11x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + -11x + -2x = -24 + 2x + -2x Combine like terms: -11x + -2x = -13x 28 + -13x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + -13x = -24 + 0 28 + -13x = -24 Add '-28' to each side of the equation. 28 + -28 + -13x = -24 + -28 Combine like terms: 28 + -28 = 0 0 + -13x = -24 + -28 -13x = -24 + -28 Combine like terms: -24 + -28 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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